How orthogonalities set Kochen-Specker sets
Quantum Physics
2015-05-19 v1
Abstract
We look at generalisations of sets of vectors proving the Kochen-Specker theorem in 3 and 4 dimensions. It has been shown that two such sets, although unitarily inequivalent, are part of a larger 3-parameter family of vectors that share the same orthogonality graph. We find that these sets are unusual, in that the vectors in all other Kochen-Specker sets investigated here are fully determined by orthogonality conditions and thus admit no free parameters.
Cite
@article{arxiv.1008.4453,
title = {How orthogonalities set Kochen-Specker sets},
author = {Kate Blanchfield},
journal= {arXiv preprint arXiv:1008.4453},
year = {2015}
}
Comments
3 pages, contribution to the V\"axj\"o conference "Advances in Quantum Theory"